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Finding the Fourth Proportional to 17,105.40, 25,614.90 and 13,649.40

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Solution

The fourth proportional to 17,105.40, 25,614.90 and 13,649.40 is: 20,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,105.40 : 25,614.90 = 13,649.40 : x
  2. Step 2: Convert to fraction form
    17,105.40/25,614.90 = 13,649.40/x
  3. Step 3: Cross multiply
    17,105.40x = 25,614.90 × 13,649.40
  4. Step 4: Simplify right side
    17,105.40x = 349,628,016.06
  5. Step 5: Solve for x
    x = 349,628,016.06/17,105.40
  6. Step 6: Final answer
    x = 20,439.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.